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Finding the Fourth Proportional to 10,343.76, 14,271.96 and 5,866.48

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Solution

The fourth proportional to 10,343.76, 14,271.96 and 5,866.48 is: 8,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.76 : 14,271.96 = 5,866.48 : x
  2. Step 2: Convert to fraction form
    10,343.76/14,271.96 = 5,866.48/x
  3. Step 3: Cross multiply
    10,343.76x = 14,271.96 × 5,866.48
  4. Step 4: Simplify right side
    10,343.76x = 83,726,167.90
  5. Step 5: Solve for x
    x = 83,726,167.90/10,343.76
  6. Step 6: Final answer
    x = 8,094.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.